Dreaming that you are climbing up something (ladder, rope, etc.) means that you are trying to or you have overcome a great struggle. It also suggests that your goals are finally within reach. Climbing also means that you have risen to a level of prominence within the social or economic sphere.
Dreaming that you are climbing down a cliff, indicates that you need to acknowledge and take notice of your unconscious. You are expressing some hesitance and reservation with delving into your more negative feelings. Alternatively, it suggests that you may be feeling low or emotionally drained.